Abstract
We consider Δ(27) models featuring geometrical CP violation, and analyse several structures that can obtain the observed lepton masses and mixing. The leptonic structures considered are entirely consistent with structures that reproduce the experimental data in the quark sector. This constitutes an existence proof of geometrical CP violation models accounting for the masses and mixing of all fermions.
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G. Branco, J. Gerard and W. Grimus, Geometrical T violation, Phys. Lett. B 136 (1984) 383 [INSPIRE].
I. de Medeiros Varzielas and D. Emmanuel-Costa, Geometrical CP-violation, Phys. Rev. D 84 (2011) 117901 [arXiv:1106.5477] [INSPIRE].
I. de Medeiros Varzielas, D. Emmanuel-Costa and P. Leser, Geometrical CP-violation from non-renormalisable scalar potentials, Phys. Lett. B 716 (2012) 193 [arXiv:1204.3633] [INSPIRE].
I. de Medeiros Varzielas, Geometrical CP-violation in multi-Higgs models, JHEP 08 (2012) 055 [arXiv:1205.3780] [INSPIRE].
G. Bhattacharyya, I. de Medeiros Varzielas and P. Leser, A common origin of fermion mixing and geometrical CP-violation and its test through Higgs physics at the LHC, Phys. Rev. Lett. 109 (2012) 241603 [arXiv:1210.0545] [INSPIRE].
I. Ivanov and L. Lavoura, Geometrical CP-violation in the N -Higgs-doublet model, Eur. Phys. J. C 73 (2013) 2416 [arXiv:1302.3656] [INSPIRE].
I. de Medeiros Varzielas, Fermion mixing with geometrical CP-violation and its tests at the LHC, J. Phys. Conf. Ser. 447 (2013) 012038 [arXiv:1302.3991] [INSPIRE].
E. Ma, Neutrino mixing and geometric CP-violation with Δ(27) symmetry, Phys. Lett. B 723 (2013) 161 [arXiv:1304.1603] [INSPIRE].
I.d.M. Varzielas and D. Pidt, Towards realistic models of quark masses with geometrical CP-violation, arXiv:1307.0711 [INSPIRE].
F. Feruglio, C. Hagedorn and R. Ziegler, Lepton mixing parameters from discrete and CP symmetries, JHEP 07 (2013) 027 [arXiv:1211.5560] [INSPIRE].
M. Holthausen, M. Lindner and M.A. Schmidt, CP and discrete flavour symmetries, JHEP 04 (2013) 122 [arXiv:1211.6953] [INSPIRE].
C. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
I. de Medeiros Varzielas and L. Merlo, Ultraviolet completion of flavour models, JHEP 02 (2011) 062 [arXiv:1011.6662] [INSPIRE].
I. de Medeiros Varzielas and D. Pidt, UV completions of flavour models and large θ 13, JHEP 03 (2013) 065 [arXiv:1211.5370] [INSPIRE].
C. Luhn, Trimaximal TM 1 neutrino mixing in S 4 with spontaneous CP-violation, Nucl. Phys. B 875 (2013) 80 [arXiv:1306.2358] [INSPIRE].
S. Antusch, M. Holthausen, M.A. Schmidt and M. Spinrath, Solving the strong CP problem with discrete symmetries and the right unitarity triangle, arXiv:1307.0710 [INSPIRE].
G.-J. Ding, S.F. King and A.J. Stuart, Generalised CP and A 4 family symmetry, arXiv:1307.4212 [INSPIRE].
M. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
G. Altarelli and G. Blankenburg, Different SO(10) paths to fermion masses and mixings, JHEP 03 (2011) 133 [arXiv:1012.2697] [INSPIRE].
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ArXiv ePrint: 1307.6545
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de Medeiros Varzielas, I., Pidt, D. Geometrical CP violation with a complete fermion sector. J. High Energ. Phys. 2013, 206 (2013). https://doi.org/10.1007/JHEP11(2013)206
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DOI: https://doi.org/10.1007/JHEP11(2013)206